Neglecting air resistance, the distance h(t) in feet traveled by a freely falling object is given by the function , where t is time in seconds. The height of a certain tower is 912 feet. How long would it take an object to fall to the ground from the top of the building? Round to nearest 0.1 second
Answer:
t = 7.54 seconds
Step-by-step explanation:
The distance h(t) in feet traveled by a freely falling object is given by the function :
[tex]h(t)=16t^2[/tex]
The height of a tower is 912 feet.
It is required to find the time it will taken to fall on ground from the top of the building. It can be calculated as :
[tex]16t^2=912\\\\t=\sqrt{\dfrac{912}{16}}\\\\t=7.54\ s[/tex]
So it will taken 7.54 seconds to fall on the ground.
Help please! Will give brainly!!! The prefix anti- means “against” or “opposing.” Biotic means “way of life.” Use this information and information from the passage to define "antibiotic".
Answer:
Against the way of life.
Step-by-step explanation:
The prefix anti means against so you would just combine it with biotic which means way of life in order to get against the way of life.
65 m
16 m
b
What is the length of the missing leg?
Answer:3,969[tex]^{2}[/tex](squared) or 63
Step-by-step explanation:
First you must plug the answers into the equation A[tex]^{2}[/tex] + B[tex]^{2}[/tex]=C[tex]^{2}[/tex]
Then you square the numbers. example: 2[tex]^{2}[/tex]=2 x 2=4
After that you subtract from both sides of the equation to get the variable by itself. Example: 4+b[tex]^{2}[/tex]=10
-4 -4
b[tex]^{2}[/tex]=10
After that you square both sides or you could say answer[tex]^{2}[/tex]
change 08.00 to 12hour clock using am and pm
Answer:
if 8:00 is in the 24 hr clock then it is 08:00 am
Step-by-step explanation:
What is the slope of the line through (-9,-6)(−9,−6)left parenthesis, minus, 9, comma, minus, 6, right parenthesis and (3,-9)(3,−9)left parenthesis, 3, comma, minus, 9, right parenthesis?
Answer:
[tex]-\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given two points (-9,-6) and (3,-9). The slope of the line through the points is determined by the formula:
[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1} ,$ where (x_1,y_1)=(-9,-6), (x_2,y_2)=(3,-9)\\$Therefore:\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]
The slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]
Answer:
the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given that,
Points (x₁ , y₁) is (-9,-6) respectively and
( x₂ , y₂) is (3,-9) respectively.
The slope of the line through the points is determined by the formula:
[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where x₁ = -9
y₁ = -6
x₂ = 3
y₂ = -9
Therefore:
[tex]\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]
Therefore, the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]
The sum of two numbers is 19.Their difference is 5. Find the number 5
Answer:
12 and 7
Step-by-step explanation:
:
Identify the following given the Quadratic Function graphed below. **Do NOT use the space bar when typing your answers.
Vertex (ordered pair)=
Axis of sym(equation)=
Answer:
Axis of symmetry: x = 1
Vertex = [tex](1,-4)[/tex]
Step-by-step explanation:
Given: graph indicating quadratic function
To find: Vertex (ordered pair), axis of symmetry
Solution:
A vertical line that divides the parabola into two congruent halves is known as the axis of symmetry.
The point where the parabola crosses its axis of symmetry is known as the vertex of a parabola.
From the graph,
axis of symmetry: x = 1
Vertex = [tex](1,-4)[/tex]
The perimeter of the triangular park shown on the right is 12x - 6. . What is the missing length?
Answer:
8x-4
Step-by-step explanation:
3x-3+x+1+?=12x-6
4x-2+?=12x-6
4x+?=12x-4
?=8x-4
Therefore, 8x-4
Which data collections are considered a census? Select all that apply.
a. Ally wants to find out the favorite food of students in her math class, so she surveys the first
ten students who walk into class.
b. Isaac wants to find out the least favorite school subject of the students in his science class, so
he surveys all the students in science class.
c. Malik wants to find out how much time seventh graders in his school spend doing homework
each night, so he surveys the 13-year-old boys in the seventh grade.
d. Emily wants to find out how much time soccer players on her team spend practicing on their
own each week, so she surveys each girl on the team.
e. Lucas wants to find out the favorite song of the singers in his school chorus, so he surveys his
close friends in the chorus.
Answer: Choice B.
Step-by-step explanation:
Censuses are complete data collections of every member of a population.
For example, the U.S. Census occurs every 10 years and documents every member of the American population.
Choice A only surveys the first ten students; this is not a complete census.
Choice B surveys all the students in the targeted data group. This is a census.
Choice C only surveys the male students, even though there are female students in his data group. This is not a census.
Choice D only surveys the girls on the soccer team, even though there may be boys on the team as well. This is not a census.
Choice E only surveys his friends in the chorus, even though there may have been people that were not his close friends. This is not a census.
Only choice B is a complete census.
Answer:
choice B
Step-by-step explanation:
because choice b is the only complete census
PLZ HELP!
Round your answer to the nearest hundredth.
A
9
7
?
B.
С
Answer:
Angle B = 51.06 degrees
Step-by-step explanation:
arcsin(7/9)=Angle B
Therefore, Angle B = 51.06 degrees
An anthropologist visits an igloo with a circular floor. While there, she measures it and calculates that it has a circumference of 18.84 yards. What is the floor's diameter?
Answer:
The diameter of the floor is 6 yards
Step-by-step explanation:
Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards
Mathematically,
C = π * D
where C is the circumference
Plugging the values of the circumference , we have ;
18.84 = 22/7 * D
7 * 18.84 = 22D
D = (7* 18.84)/22 = 5.99 which is approximately 6 yards
Evaluate cosθ when sinθ = -7/8 and θ is in Quadrant IV.
Answer:
cosθ= [tex] \frac{ \sqrt{15} }{8} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
In the 4th quadrant, the cosine of an angle is positive.
The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject [tex]x = - \sqrt{15} [/tex] since x lies on the right side of the y axis.
A rhombus has side lengths of 25. What could be the lengths of the diagonals? *
Answer:
0 < x < 50
Step-by-step explanation:
We start out with a square (which IS a rhombus for all sides are equal in
length. That's when the diagonals are equal in length, which, by the
Pythagorean theorem equal to
5*√2
C^2=a^2+b^2
=25^2+25^2
Factorise
c^2=25^2 × 2
c=square root of 25^2 × 2
That is
c=√25^2 × 2
=5×√2
As we decrease the angle on the bottom left and increase the angle on
the bottom right, the green diagonal increases to 25+25 or 50, but never gets to 50. The red diagonal shrinks to 0 but never gets to 0.
the lengths of a diagonal can only be in the open interval from 0 to 50. In interval notation that is (0,50) or 0 < x < 50.
Answer:
Minimum value: 0, Maximum value: 50
Step-by-step explanation:
A rhombus is a quadrilateral with side of same length but different angle pairs. Let consider the following rhombus (See attachment). It is known that sum of all angles in quadrilateral is equal to 360°. The length of each diagonal is, respectively:
[tex]d_{1} = 2\cdot l\cdot \sin 0.5\alpha[/tex]
[tex]d_{2} = 2\cdot l \cdot \sin (90-0.5\alpha)[/tex]
[tex]d_{2} = 2\cdot l \cdot (\sin 90^{\circ}\cdot \cos 0.5\alpha - \cos 90 \cdot \sin 0.5\alpha)[/tex]
[tex]d_{2} = 2\cdot l \cdot \cos 0.5\alpha[/tex]
Each expression shows that value of a diagonal changes at the expense of the other one inasmuch angle changes. The minimum and maximum values of any of the diagonal occur when trigonometric functions are equal to 0 and 1, respectively.
Minimum value: [tex]d_{min} = 0[/tex], Maximum value: [tex]d_{max} = 2\cdot l = 2 \cdot (25) = 50[/tex]
Bryan's hockey team is purchasing jerseys. The company charges $ 250 for a onetime set-up fee and $ 23 for each printed jersey. Expression represents the total cost of x number of jerseys for the team?
Answer:
$250 + $23x
Step-by-step explanation:
One time set-up fee for jerseys = $250
cost of one jersey = $23
therefore, cost x jersey = cost of one jersey*x = 23x
Total cost for this deal will be sum of One time set-up fee for jerseys and cost x jersey
Total cost = One time set-up fee for jerseys + cost x jersey
Total cost = $250 + $23x
Expression represents the total cost of x number of jerseys for the team is $250 + $23x.
Three to the sixth power divided by three to the third power
let's first convert this to number form.
3^6 / 3^3= what?
to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.
3^6 / 3^3 = 3^6-3=3^3
A high street store advertises 35% reduction on all clothing items. A dress costs £85 before the reduction. How much does it cost now?
Answer:
£55.25
Step-by-step explanation:
Cost after reduction
=Cost before sale - Reduction in cost
= 85 - 35% of 85
= 85 - 0.35*85
= 85 - 29.75
= £55.25
Answer:
=£ 55.25hope this helps
brainliest appreciated
good luck! have a nice day!
Please help, this is worth a lot to me
The off peak weekly average cost of hiring a caravan is £520 in July the average cost increase to £800 calculate the percentage in cost give your answer to 2 significant figure
Answer:
54%
Step-by-step explanation:
For this case you can solve the problem by applying a simple rule of three in which we have
520 ---> 100%
800 ---> x
Clearing x we have
x = (800/520) * 100 = 154%
the percentage increase in cost was
154-100 = 54%
answer
the percentage increase in cost was 54%
How to add polynomials in brackets
Solve the following: a) 3x2+ 4 9.5 b) 7+2x 5
Answer:
a= 55.5
b= 45
hope it is helpful for u
The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores? 6a) What expression that represents the cost of having Magic Carpet install carpeting: 6b) What expression that represents the cost of having Carpeteria install carpeting: 6c) Write an algebraic equation that represents when the cost of installing carpet by the two companies will be the same: 6d) For what number of square yards of carpeting will the cost, including installation, be the same for both stores? Solve the equation in 1c. Show your work.
Answer:
The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)
The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)
The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)
The area of carpet for which the cost is the same is: 10 square yard
Step-by-step explanation:
6a) The cost for magic carpet:
This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:
cost = 90 + 9*a
Where a is the area of carpet to be installed.
6)b) The cost for Capeteria:
This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:
cost = 50 + 13*a.
6) c) The algebraic expression for the cost to be the same in both stores:
90 + 9*a = 50 + 13*a
6) d) We need to solve the expression above for a:
50 + 13*a = 90 + 9*a
13*a - 9*a = 90 - 50
4*a = 40
a = 40/4 = 10
Can someone plz help me?
Answer:
The first graph
Step-by-step explanation:
-2a - 5 > 3
-2a > 8
a < -4 (when divided by a negative number, the inequality sign will be flipped)
Therefor the first graph shows the solutions
1
2
3
TIME REMAININ
01:53:10
Jalen is buying a new car. He has the options below.
Model: compact, luxury, sport
Transmission: automatic, manual
Color: red, blue, black, yellow
Jalen decides that he wants a yellow car. What is the total number of choices he has?
5
6
12
24
Mark this and return
Save and Exit
by
Submit
antentViewers. Assessme
Activit
Answer:
5
Step-by-step explanation:
The following table shows the probability of rolling the numbers 1 through 8 on a fair 8 sided die what is the standard deviation of the random variable x the number that comes up on the die
Answer: 2.291
Step-by-step explanation:
Answer:
2.291
Step-by-step explanation:
The other guy awnser correct, checked through test
What is the decimal multiplier to increase by 4.1%?
Answer:
1.041.
Step-by-step explanation:
4.1 % = 4.1 / 100 = 0.041 as a decimal fraction.
So ehen we increase a quantity by 4.1% we multiply by 1.041.
NEED HELP ASAP!!!!!
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Answer:
20,000 is the length of the book with 20,000 pages.
Ali made $126 for 9 hours of work. At the same rate, how many hours would he have to work to make $168 ?
Answer:
12 hours
Step-by-step explanation:
First to solve this problem, let's look at what we are dealing with here. It says that Ali made $126 for 9 hours of work.
Let's set that up into a fraction so it's easier to look at.
money/time = 126/9
Now that we have that set up let's look at our other piece of information.
It asks for how many hours would Ali have to work in order to make $168 so let's figure that out.
In order to find out the number of hours, let's first find our unit rate which can be simply found by dividing our given money/time.
126/9 = 14.
This means that for every 1 hour, there will be 14 dollars earned.
Now that we know that, let's look for how many hours it take to earn $168.
In order to do that simply see how many times 14 goes into 168 (division) and that way you can see how many hours it will take to earn $168.
168/14 = 12 hours.
Prosta aa i prosta bb są do siebie prostopadłe, a także prosta bb i prosta cc są do siebie prostopadłe. Wybierz poprawne uzupełnienie zdania. Prosta aa jest prostopadła / równoległa do prostej cc.
Answer:
- In a 3-D setting, straight line aa can be perpendicular or parallel to straight line cc.
- In a 2-D setting, straight line aa can only be parallel to straight line cc.
- W ustawieniu trójwymiarowym linia prosta aa może być prostopadła lub równoległa do linii prostej cc.
- W ustawieniu 2-D linia prosta aa może być równoległa do linii prostej cc.
Step-by-step explanation:
English Translation
Straight line aa and straight line bb are perpendicular to each other, as well as straight line bb and straight line cc are perpendicular to each other. Choose the correct completion of the sentence. Line aa is perpendicular / parallel to line cc.
Solution
If the frame of reference for the lines is in 3-D, then, it is the straight line aa can also be perpendicular to the straight line cc in the same vein as the x, y and z component lines are usually all perpendicular to one another. Note that straight line aa could also be parallel to straight line cc in a 3-D frame of reference.
But in a 2-D frame of reference, straight line aa can only be parallel to straight line cc. This is because the only directions that straight line bb can be perpendicular to, in a 2-D setting, are all in the same parallel direction.
In Polish/Po polsku
Jeśli układ odniesienia dla linii jest w 3-D, to jest to linia prosta aa może być również prostopadła do linii prostej cc w tej samej żyle, ponieważ linie składowe x, y i z są zwykle wszystkie prostopadłe do jednego inne. Należy zauważyć, że linia prosta aa może być również równoległa do linii prostej cc w trójwymiarowym układzie odniesienia.
Ale w dwuwymiarowym układzie odniesienia linia prosta aa może być tylko równoległa do linii prostej cc. Jest tak, ponieważ jedyne kierunki, w których prosta bb może być prostopadła, w ustawieniu 2-D, wszystkie są w tym samym kierunku równoległym.
Hope this Helps!!!
Mam nadzieję że to pomoże!!!
what is 5x^2 + 8x -4
Answer:
if your factoring the answer should be (5x-2) (x+2)
Answer:
(5x−2)(x+2)
Step-by-step explanation:
What is the probability of the complement of spinning an even number by using the spinner below?
Answer:
Think about a dice. When a dice is rolled there are 6 possible outcomes: 1, 2, 3, 4, 5 and 6. To find the probability of the event of rolling a 4, find the number of possible ways of rolling a 4 and divide it by the total number of possible outcomes.
There is one way of rolling a 4 and there are six possible outcomes, so the probability of rolling a 4 on a dice is . This is called the ‘theoretical probability’ - in theory, if you roll a dice six times then you should roll a 4 once.
I think this will help
Step-by-step explanation:
Answer: the answer is 5/8.
Step-by-step explanation: